Averages of the counting function of a quasiregular mapping

Abstract

The theory of quasiregular and quasimeromorphic mappings has turned out to form a natural real n-dimensional generalization of the theory of analytic and meromorphic functions of one complex variable. The study of these mappings was initiated by Re~etnjak in 1966 in a series of papers listed in Since then the theory has been developed in many directions by several authors. For basic parts of it we refer to Definitions are given in 2.1 of Section 2.